Generalized Riesz basis property in the analysis of neutral type systems

被引：16

作者：

Rabah, R

Sklyar, GM

Rezounenko, AV

机构：

[1] IRCCyN, UMR 6597, F-44321 Nantes 3, France

[2] Univ Szczecin, Math Inst, PL-70451 Szczecin, Poland

[3] Kharkov AM Gorkii State Univ, Dept Mech & Math, UA-61077 Kharkov, Ukraine

来源：

COMPTES RENDUS MATHEMATIQUE | 2003年 / 337卷 / 01期

关键词：

D O I：

10.1016/S1631-073X(03)00251-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The functional differential equation of neutral type is studied. We consider the corresponding operator model in Hilbert space M-2 = C-n x L-2(- 1, 0; C-n) and prove that there exists a sequence of invariant finite-dimensional subspaces which constitute a Riesz basis in M-2. We also give an example emphasizing that the generalized eigenspaces do not form a Riesz basis. To cite this article: R. Rabah et al., C R. Acad. Sci. Paris, Ser. 1337 (2003). (C) 2003 Academie des sciences. Published by Editions scientifiques et medicales Elsevier SAS. All rights reserved.

引用

页码：19 / 24

页数：6

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